hermitian matrix

  • 1Hermitian matrix — A Hermitian matrix (or self adjoint matrix) is a square matrix with complex entries which is equal to its own conjugate transpose mdash; that is, the element in the i th row and j th column is equal to the complex conjugate of the element in the… …

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  • 2Hermitian matrix — ermitinė matrica statusas T sritis fizika atitikmenys: angl. Hermitian matrix; self adjoint matrix vok. Hermite Matrix, f; hermitesche Matrix, f; selbstadjungierte Matrix, f rus. самосопряжённая матрица, f; эрмитова матрица, f pranc. matrice… …

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  • 3hermitian matrix — hər¦mishən , erˈmēshən noun Usage: usually capitalized H Etymology: Charles Hermite died 1901 French mathematician + English ian : a square matrix having the property that each pair of elements comprised of one in the ith row and jth column and… …

    Useful english dictionary

  • 4Hermitian matrix — Math. a matrix, whose entries are complex numbers, equal to the transpose of the matrix whose entries are the conjugates of the entries of the given matrix. [1925 30; after C. HERMITE; see IAN] * * * …

    Universalium

  • 5Hermitian matrix — noun Etymology: Charles Hermite died 1901 French mathematician Date: 1935 a square matrix having the property that each pair of elements in the ith row and jth column and in the jth row and ith column are conjugate complex numbers …

    New Collegiate Dictionary

  • 6Skew-Hermitian matrix — In linear algebra, a square matrix (or more generally, a linear transformation from a complex vector space with a sesquilinear norm to itself) A is said to be skew Hermitian or antihermitian if its conjugate transpose A * is also its negative.… …

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  • 7Moore determinant of a Hermitian matrix — Not to be confused with Moore determinant over a finite field. In mathematics, the Moore determinant is a determinant defined for Hermitian matrices over a quaternion algebra, introduced by Moore (1922). See also Dieudonné determinant… …

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  • 8Hermitian variety — Hermitian varieties are in a sense a generalisation of quadrics, and occur naturally in the theory of polarities.DefinitionLet K be a field with an involutive automorphism heta. Let n be an integer geq 1 and V be an (n+1) dimensional vectorspace… …

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  • 9Matrix mechanics — Quantum mechanics Uncertainty principle …

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  • 10Hermitian manifold — In mathematics, a Hermitian manifold is the complex analog of a Riemannian manifold. Specifically, a Hermitian manifold is a complex manifold with a smoothly varying Hermitian inner product on each (holomorphic) tangent space. One can also define …

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